Laypeople do use Sample variance: The effect of embedding data in a variance-implying story
Thinking and Reasoning 16 (1):26 – 44 (2010)
| Abstract | When using sample data to decide whether two populations differ, laypeople attend to the difference between group means, but largely overlook within-group variability (Obrecht, Chapman, & Gelman, 2007). We show, first, that laypeople know about and use story-implied variability when making pairwise comparisons. Then we demonstrate that participants' sensitivity to variance in a dataset is boosted when presented in a context that implies consistent variance information. Statistical data were couched in stories about electrical conductivity measurements obtained from element samples (low-variability category) or body weight measurements from samples of peoples (high-variability category). We manipulated, between participants, whether the data variance matched or mismatched the story-implied variability. Participants who received data in a matching context showed high sensitivity to variance, while those in the mismatching condition did not. Laypeople use statistical data to make reasonable inferences when those data are provided in a context that makes sense | |||||||||
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Bruce A. Thyer (1998). On Various Methods of Reporting Variance. Behavioral and Brain Sciences 21 (2):222-223.
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Marta Campdelacreu (2010). Naturalness, Vagueness, and Sortals. Metaphysica 11 (1):79-91.
Clinton A. Greene (2000). I Am Not, nor Have I Ever Been a Member of a Data-Mining Discipline. Journal of Economic Methodology 7 (2):217-230.
Ole Thomassen Hjortland (forthcoming). Logical Pluralism, Meaning-Variance, and VerbalDisputes. Australasian Journal of Philosophy:1-19.
Katherine Hawley (2007). Neo-Fregeanism and Quantifier Variance. Aristotelian Society Supplementary Volume 81 (1):233-249.
Robert Northcott (2006). Causal Efficacy and the Analysis of Variance. Biology and Philosophy 21 (2):253-276.
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